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Finding the Fourth Proportional to 569,780.12, 786,494.40 and 328,159.10

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Solution

The fourth proportional to 569,780.12, 786,494.40 and 328,159.10 is: 452,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,780.12 : 786,494.40 = 328,159.10 : x
  2. Step 2: Convert to fraction form
    569,780.12/786,494.40 = 328,159.10/x
  3. Step 3: Cross multiply
    569,780.12x = 786,494.40 × 328,159.10
  4. Step 4: Simplify right side
    569,780.12x = 258,095,294,459.04
  5. Step 5: Solve for x
    x = 258,095,294,459.04/569,780.12
  6. Step 6: Final answer
    x = 452,973.50

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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.