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Finding the Fourth Proportional to 280,124.68, 386,585.74 and 157,655.32

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Solution

The fourth proportional to 280,124.68, 386,585.74 and 157,655.32 is: 217,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,124.68 : 386,585.74 = 157,655.32 : x
  2. Step 2: Convert to fraction form
    280,124.68/386,585.74 = 157,655.32/x
  3. Step 3: Cross multiply
    280,124.68x = 386,585.74 × 157,655.32
  4. Step 4: Simplify right side
    280,124.68x = 60,947,298,547.14
  5. Step 5: Solve for x
    x = 60,947,298,547.14/280,124.68
  6. Step 6: Final answer
    x = 217,572.04

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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.