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Finding the Fourth Proportional to 502,246.53, 692,904.88 and 284,405.20

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Solution

The fourth proportional to 502,246.53, 692,904.88 and 284,405.20 is: 392,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,246.53 : 692,904.88 = 284,405.20 : x
  2. Step 2: Convert to fraction form
    502,246.53/692,904.88 = 284,405.20/x
  3. Step 3: Cross multiply
    502,246.53x = 692,904.88 × 284,405.20
  4. Step 4: Simplify right side
    502,246.53x = 197,065,746,090.83
  5. Step 5: Solve for x
    x = 197,065,746,090.83/502,246.53
  6. Step 6: Final answer
    x = 392,368.56

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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.