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Finding the Fourth Proportional to 704,820.88, 972,210.40 and 418,138

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Solution

The fourth proportional to 704,820.88, 972,210.40 and 418,138 is: 576,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,820.88 : 972,210.40 = 418,138 : x
  2. Step 2: Convert to fraction form
    704,820.88/972,210.40 = 418,138/x
  3. Step 3: Cross multiply
    704,820.88x = 972,210.40 × 418,138
  4. Step 4: Simplify right side
    704,820.88x = 406,518,112,235.20
  5. Step 5: Solve for x
    x = 406,518,112,235.20/704,820.88
  6. Step 6: Final answer
    x = 576,767.98

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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.