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Finding the Fourth Proportional to 488,297.81, 731,711.14 and 435,085.07

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Solution

The fourth proportional to 488,297.81, 731,711.14 and 435,085.07 is: 651,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,297.81 : 731,711.14 = 435,085.07 : x
  2. Step 2: Convert to fraction form
    488,297.81/731,711.14 = 435,085.07/x
  3. Step 3: Cross multiply
    488,297.81x = 731,711.14 × 435,085.07
  4. Step 4: Simplify right side
    488,297.81x = 318,356,592,566.68
  5. Step 5: Solve for x
    x = 318,356,592,566.68/488,297.81
  6. Step 6: Final answer
    x = 651,972.19

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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.