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Finding the Fourth Proportional to 657,390.65, 986,088.90 and 208,113.77

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Solution

The fourth proportional to 657,390.65, 986,088.90 and 208,113.77 is: 312,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,390.65 : 986,088.90 = 208,113.77 : x
  2. Step 2: Convert to fraction form
    657,390.65/986,088.90 = 208,113.77/x
  3. Step 3: Cross multiply
    657,390.65x = 986,088.90 × 208,113.77
  4. Step 4: Simplify right side
    657,390.65x = 205,218,678,534.15
  5. Step 5: Solve for x
    x = 205,218,678,534.15/657,390.65
  6. Step 6: Final answer
    x = 312,171.58

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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.