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Finding the Fourth Proportional to 978,403.70, 1,467,605.55 and 473,206.70

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Solution

The fourth proportional to 978,403.70, 1,467,605.55 and 473,206.70 is: 709,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,403.70 : 1,467,605.55 = 473,206.70 : x
  2. Step 2: Convert to fraction form
    978,403.70/1,467,605.55 = 473,206.70/x
  3. Step 3: Cross multiply
    978,403.70x = 1,467,605.55 × 473,206.70
  4. Step 4: Simplify right side
    978,403.70x = 694,480,779,217.19
  5. Step 5: Solve for x
    x = 694,480,779,217.19/978,403.70
  6. Step 6: Final answer
    x = 709,810.05

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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.