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Finding the Fourth Proportional to 256,608,640.80, 384,912,961.20 and 120,307,802.40

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Solution

The fourth proportional to 256,608,640.80, 384,912,961.20 and 120,307,802.40 is: 180,461,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,608,640.80 : 384,912,961.20 = 120,307,802.40 : x
  2. Step 2: Convert to fraction form
    256,608,640.80/384,912,961.20 = 120,307,802.40/x
  3. Step 3: Cross multiply
    256,608,640.80x = 384,912,961.20 × 120,307,802.40
  4. Step 4: Simplify right side
    256,608,640.80x = 46,308,032,477,248,464
  5. Step 5: Solve for x
    x = 46,308,032,477,248,464/256,608,640.80
  6. Step 6: Final answer
    x = 180,461,703.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.