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Finding the Fourth Proportional to 708,528, 977,768.64 and 406,819.20

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Solution

The fourth proportional to 708,528, 977,768.64 and 406,819.20 is: 561,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,528 : 977,768.64 = 406,819.20 : x
  2. Step 2: Convert to fraction form
    708,528/977,768.64 = 406,819.20/x
  3. Step 3: Cross multiply
    708,528x = 977,768.64 × 406,819.20
  4. Step 4: Simplify right side
    708,528x = 397,775,055,909.89
  5. Step 5: Solve for x
    x = 397,775,055,909.89/708,528
  6. Step 6: Final answer
    x = 561,410.50

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1.5x scale

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.