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Finding the Fourth Proportional to 708,363.21, 977,564.06 and 402,434.01

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Solution

The fourth proportional to 708,363.21, 977,564.06 and 402,434.01 is: 555,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,363.21 : 977,564.06 = 402,434.01 : x
  2. Step 2: Convert to fraction form
    708,363.21/977,564.06 = 402,434.01/x
  3. Step 3: Cross multiply
    708,363.21x = 977,564.06 × 402,434.01
  4. Step 4: Simplify right side
    708,363.21x = 393,405,024,697.68
  5. Step 5: Solve for x
    x = 393,405,024,697.68/708,363.21
  6. Step 6: Final answer
    x = 555,371.90

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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.