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Finding the Fourth Proportional to 657,065.80, 983,411.70 and 476,638.30

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Solution

The fourth proportional to 657,065.80, 983,411.70 and 476,638.30 is: 713,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,065.80 : 983,411.70 = 476,638.30 : x
  2. Step 2: Convert to fraction form
    657,065.80/983,411.70 = 476,638.30/x
  3. Step 3: Cross multiply
    657,065.80x = 983,411.70 × 476,638.30
  4. Step 4: Simplify right side
    657,065.80x = 468,731,680,888.11
  5. Step 5: Solve for x
    x = 468,731,680,888.11/657,065.80
  6. Step 6: Final answer
    x = 713,370.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.