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Finding the Fourth Proportional to 291,873, 402,784.74 and 157,737

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Solution

The fourth proportional to 291,873, 402,784.74 and 157,737 is: 217,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,873 : 402,784.74 = 157,737 : x
  2. Step 2: Convert to fraction form
    291,873/402,784.74 = 157,737/x
  3. Step 3: Cross multiply
    291,873x = 402,784.74 × 157,737
  4. Step 4: Simplify right side
    291,873x = 63,534,056,533.38
  5. Step 5: Solve for x
    x = 63,534,056,533.38/291,873
  6. Step 6: Final answer
    x = 217,677.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.