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Finding the Fourth Proportional to 658,884, 909,263.16 and 357,078

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Solution

The fourth proportional to 658,884, 909,263.16 and 357,078 is: 492,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,884 : 909,263.16 = 357,078 : x
  2. Step 2: Convert to fraction form
    658,884/909,263.16 = 357,078/x
  3. Step 3: Cross multiply
    658,884x = 909,263.16 × 357,078
  4. Step 4: Simplify right side
    658,884x = 324,677,870,646.48
  5. Step 5: Solve for x
    x = 324,677,870,646.48/658,884
  6. Step 6: Final answer
    x = 492,769.40

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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.