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Finding the Fourth Proportional to 704,442.62, 972,130.82 and 402,643.10

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Solution

The fourth proportional to 704,442.62, 972,130.82 and 402,643.10 is: 555,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,442.62 : 972,130.82 = 402,643.10 : x
  2. Step 2: Convert to fraction form
    704,442.62/972,130.82 = 402,643.10/x
  3. Step 3: Cross multiply
    704,442.62x = 972,130.82 × 402,643.10
  4. Step 4: Simplify right side
    704,442.62x = 391,421,766,970.34
  5. Step 5: Solve for x
    x = 391,421,766,970.34/704,442.62
  6. Step 6: Final answer
    x = 555,647.48

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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.