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Finding the Fourth Proportional to 708,256, 977,393.28 and 390,304

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Solution

The fourth proportional to 708,256, 977,393.28 and 390,304 is: 538,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,256 : 977,393.28 = 390,304 : x
  2. Step 2: Convert to fraction form
    708,256/977,393.28 = 390,304/x
  3. Step 3: Cross multiply
    708,256x = 977,393.28 × 390,304
  4. Step 4: Simplify right side
    708,256x = 381,480,506,757.12
  5. Step 5: Solve for x
    x = 381,480,506,757.12/708,256
  6. Step 6: Final answer
    x = 538,619.52

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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.