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Finding the Fourth Proportional to 520,036.40, 778,742.40 and 415,060.40

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Solution

The fourth proportional to 520,036.40, 778,742.40 and 415,060.40 is: 621,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,036.40 : 778,742.40 = 415,060.40 : x
  2. Step 2: Convert to fraction form
    520,036.40/778,742.40 = 415,060.40/x
  3. Step 3: Cross multiply
    520,036.40x = 778,742.40 × 415,060.40
  4. Step 4: Simplify right side
    520,036.40x = 323,225,132,040.96
  5. Step 5: Solve for x
    x = 323,225,132,040.96/520,036.40
  6. Step 6: Final answer
    x = 621,543.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.