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Finding the Fourth Proportional to 510,140.40, 765,210.60 and 478,647.60

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Solution

The fourth proportional to 510,140.40, 765,210.60 and 478,647.60 is: 717,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,140.40 : 765,210.60 = 478,647.60 : x
  2. Step 2: Convert to fraction form
    510,140.40/765,210.60 = 478,647.60/x
  3. Step 3: Cross multiply
    510,140.40x = 765,210.60 × 478,647.60
  4. Step 4: Simplify right side
    510,140.40x = 366,266,217,184.56
  5. Step 5: Solve for x
    x = 366,266,217,184.56/510,140.40
  6. Step 6: Final answer
    x = 717,971.40

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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.