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Finding the Fourth Proportional to 687,085.76, 948,187.68 and 514,698.32

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Solution

The fourth proportional to 687,085.76, 948,187.68 and 514,698.32 is: 710,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,085.76 : 948,187.68 = 514,698.32 : x
  2. Step 2: Convert to fraction form
    687,085.76/948,187.68 = 514,698.32/x
  3. Step 3: Cross multiply
    687,085.76x = 948,187.68 × 514,698.32
  4. Step 4: Simplify right side
    687,085.76x = 488,030,605,940.70
  5. Step 5: Solve for x
    x = 488,030,605,940.70/687,085.76
  6. Step 6: Final answer
    x = 710,290.67

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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.