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Finding the Fourth Proportional to 659,411.76, 909,988.74 and 357,605.76

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Solution

The fourth proportional to 659,411.76, 909,988.74 and 357,605.76 is: 493,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,411.76 : 909,988.74 = 357,605.76 : x
  2. Step 2: Convert to fraction form
    659,411.76/909,988.74 = 357,605.76/x
  3. Step 3: Cross multiply
    659,411.76x = 909,988.74 × 357,605.76
  4. Step 4: Simplify right side
    659,411.76x = 325,417,214,959.14
  5. Step 5: Solve for x
    x = 325,417,214,959.14/659,411.76
  6. Step 6: Final answer
    x = 493,496.23

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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.