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Finding the Fourth Proportional to 659,457.80, 989,769.90 and 564,979.40

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Solution

The fourth proportional to 659,457.80, 989,769.90 and 564,979.40 is: 847,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,457.80 : 989,769.90 = 564,979.40 : x
  2. Step 2: Convert to fraction form
    659,457.80/989,769.90 = 564,979.40/x
  3. Step 3: Cross multiply
    659,457.80x = 989,769.90 × 564,979.40
  4. Step 4: Simplify right side
    659,457.80x = 559,199,604,240.06
  5. Step 5: Solve for x
    x = 559,199,604,240.06/659,457.80
  6. Step 6: Final answer
    x = 847,968.75

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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.