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Finding the Fourth Proportional to 520,099.40, 778,836.90 and 415,123.40

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Solution

The fourth proportional to 520,099.40, 778,836.90 and 415,123.40 is: 621,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,099.40 : 778,836.90 = 415,123.40 : x
  2. Step 2: Convert to fraction form
    520,099.40/778,836.90 = 415,123.40/x
  3. Step 3: Cross multiply
    520,099.40x = 778,836.90 × 415,123.40
  4. Step 4: Simplify right side
    520,099.40x = 323,313,421,973.46
  5. Step 5: Solve for x
    x = 323,313,421,973.46/520,099.40
  6. Step 6: Final answer
    x = 621,637.75

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1.5x scale

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.