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Finding the Fourth Proportional to 704,545, 972,272.16 and 402,745.48

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Solution

The fourth proportional to 704,545, 972,272.16 and 402,745.48 is: 555,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,545 : 972,272.16 = 402,745.48 : x
  2. Step 2: Convert to fraction form
    704,545/972,272.16 = 402,745.48/x
  3. Step 3: Cross multiply
    704,545x = 972,272.16 × 402,745.48
  4. Step 4: Simplify right side
    704,545x = 391,578,217,769.84
  5. Step 5: Solve for x
    x = 391,578,217,769.84/704,545
  6. Step 6: Final answer
    x = 555,788.80

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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.