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Finding the Fourth Proportional to 706,715.69, 975,262.88 and 400,851.59

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Solution

The fourth proportional to 706,715.69, 975,262.88 and 400,851.59 is: 553,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,715.69 : 975,262.88 = 400,851.59 : x
  2. Step 2: Convert to fraction form
    706,715.69/975,262.88 = 400,851.59/x
  3. Step 3: Cross multiply
    706,715.69x = 975,262.88 × 400,851.59
  4. Step 4: Simplify right side
    706,715.69x = 390,935,672,241.79
  5. Step 5: Solve for x
    x = 390,935,672,241.79/706,715.69
  6. Step 6: Final answer
    x = 553,172.49

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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.