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Finding the Fourth Proportional to 708,122, 977,218.08 and 406,316

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Solution

The fourth proportional to 708,122, 977,218.08 and 406,316 is: 560,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,122 : 977,218.08 = 406,316 : x
  2. Step 2: Convert to fraction form
    708,122/977,218.08 = 406,316/x
  3. Step 3: Cross multiply
    708,122x = 977,218.08 × 406,316
  4. Step 4: Simplify right side
    708,122x = 397,059,341,393.28
  5. Step 5: Solve for x
    x = 397,059,341,393.28/708,122
  6. Step 6: Final answer
    x = 560,721.66

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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.