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Finding the Fourth Proportional to 502,312.96, 692,991.36 and 287,411.20

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Solution

The fourth proportional to 502,312.96, 692,991.36 and 287,411.20 is: 396,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,312.96 : 692,991.36 = 287,411.20 : x
  2. Step 2: Convert to fraction form
    502,312.96/692,991.36 = 287,411.20/x
  3. Step 3: Cross multiply
    502,312.96x = 692,991.36 × 287,411.20
  4. Step 4: Simplify right side
    502,312.96x = 199,173,478,367.23
  5. Step 5: Solve for x
    x = 199,173,478,367.23/502,312.96
  6. Step 6: Final answer
    x = 396,512.72

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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.