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Finding the Fourth Proportional to 315,282.56, 435,088.20 and 172,042.16

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Solution

The fourth proportional to 315,282.56, 435,088.20 and 172,042.16 is: 237,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,282.56 : 435,088.20 = 172,042.16 : x
  2. Step 2: Convert to fraction form
    315,282.56/435,088.20 = 172,042.16/x
  3. Step 3: Cross multiply
    315,282.56x = 435,088.20 × 172,042.16
  4. Step 4: Simplify right side
    315,282.56x = 74,853,513,718.51
  5. Step 5: Solve for x
    x = 74,853,513,718.51/315,282.56
  6. Step 6: Final answer
    x = 237,417.24

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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.