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Finding the Fourth Proportional to 502,140, 692,784.63 and 284,318.94

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Solution

The fourth proportional to 502,140, 692,784.63 and 284,318.94 is: 392,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,140 : 692,784.63 = 284,318.94 : x
  2. Step 2: Convert to fraction form
    502,140/692,784.63 = 284,318.94/x
  3. Step 3: Cross multiply
    502,140x = 692,784.63 × 284,318.94
  4. Step 4: Simplify right side
    502,140x = 196,971,791,649.89
  5. Step 5: Solve for x
    x = 196,971,791,649.89/502,140
  6. Step 6: Final answer
    x = 392,264.69

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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.