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Finding the Fourth Proportional to 604,353,038.70, 906,529,558.05 and 420,687,029.10

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Solution

The fourth proportional to 604,353,038.70, 906,529,558.05 and 420,687,029.10 is: 631,030,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,353,038.70 : 906,529,558.05 = 420,687,029.10 : x
  2. Step 2: Convert to fraction form
    604,353,038.70/906,529,558.05 = 420,687,029.10/x
  3. Step 3: Cross multiply
    604,353,038.70x = 906,529,558.05 × 420,687,029.10
  4. Step 4: Simplify right side
    604,353,038.70x = 381,365,226,567,390,464
  5. Step 5: Solve for x
    x = 381,365,226,567,390,464/604,353,038.70
  6. Step 6: Final answer
    x = 631,030,543.65

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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.