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Finding the Fourth Proportional to 412,870.72, 569,781.84 and 243,159.52

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Solution

The fourth proportional to 412,870.72, 569,781.84 and 243,159.52 is: 335,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,870.72 : 569,781.84 = 243,159.52 : x
  2. Step 2: Convert to fraction form
    412,870.72/569,781.84 = 243,159.52/x
  3. Step 3: Cross multiply
    412,870.72x = 569,781.84 × 243,159.52
  4. Step 4: Simplify right side
    412,870.72x = 138,547,878,719.12
  5. Step 5: Solve for x
    x = 138,547,878,719.12/412,870.72
  6. Step 6: Final answer
    x = 335,572.06

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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.