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Finding the Fourth Proportional to 315,280.30, 472,920.45 and 310,096.30

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Solution

The fourth proportional to 315,280.30, 472,920.45 and 310,096.30 is: 465,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,280.30 : 472,920.45 = 310,096.30 : x
  2. Step 2: Convert to fraction form
    315,280.30/472,920.45 = 310,096.30/x
  3. Step 3: Cross multiply
    315,280.30x = 472,920.45 × 310,096.30
  4. Step 4: Simplify right side
    315,280.30x = 146,650,881,739.34
  5. Step 5: Solve for x
    x = 146,650,881,739.34/315,280.30
  6. Step 6: Final answer
    x = 465,144.45

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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.