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Finding the Fourth Proportional to 708,482.61, 977,686.52 and 386,199

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Solution

The fourth proportional to 708,482.61, 977,686.52 and 386,199 is: 532,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,482.61 : 977,686.52 = 386,199 : x
  2. Step 2: Convert to fraction form
    708,482.61/977,686.52 = 386,199/x
  3. Step 3: Cross multiply
    708,482.61x = 977,686.52 × 386,199
  4. Step 4: Simplify right side
    708,482.61x = 377,581,554,406.49
  5. Step 5: Solve for x
    x = 377,581,554,406.49/708,482.61
  6. Step 6: Final answer
    x = 532,944.00

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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.