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Finding the Fourth Proportional to 708,287, 977,436.06 and 390,335

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Solution

The fourth proportional to 708,287, 977,436.06 and 390,335 is: 538,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,287 : 977,436.06 = 390,335 : x
  2. Step 2: Convert to fraction form
    708,287/977,436.06 = 390,335/x
  3. Step 3: Cross multiply
    708,287x = 977,436.06 × 390,335
  4. Step 4: Simplify right side
    708,287x = 381,527,504,480.10
  5. Step 5: Solve for x
    x = 381,527,504,480.10/708,287
  6. Step 6: Final answer
    x = 538,662.30

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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.