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Finding the Fourth Proportional to 707,952, 976,973.76 and 390,000

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Solution

The fourth proportional to 707,952, 976,973.76 and 390,000 is: 538,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,952 : 976,973.76 = 390,000 : x
  2. Step 2: Convert to fraction form
    707,952/976,973.76 = 390,000/x
  3. Step 3: Cross multiply
    707,952x = 976,973.76 × 390,000
  4. Step 4: Simplify right side
    707,952x = 381,019,766,400
  5. Step 5: Solve for x
    x = 381,019,766,400/707,952
  6. Step 6: Final answer
    x = 538,200

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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.