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Finding the Fourth Proportional to 532,971.60, 735,509.88 and 318,069.96

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Solution

The fourth proportional to 532,971.60, 735,509.88 and 318,069.96 is: 438,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,971.60 : 735,509.88 = 318,069.96 : x
  2. Step 2: Convert to fraction form
    532,971.60/735,509.88 = 318,069.96/x
  3. Step 3: Cross multiply
    532,971.60x = 735,509.88 × 318,069.96
  4. Step 4: Simplify right side
    532,971.60x = 233,943,598,111.21
  5. Step 5: Solve for x
    x = 233,943,598,111.21/532,971.60
  6. Step 6: Final answer
    x = 438,941.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.