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Finding the Fourth Proportional to 978,036.53, 1,466,019.36 and 328,994.87

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Solution

The fourth proportional to 978,036.53, 1,466,019.36 and 328,994.87 is: 493,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,036.53 : 1,466,019.36 = 328,994.87 : x
  2. Step 2: Convert to fraction form
    978,036.53/1,466,019.36 = 328,994.87/x
  3. Step 3: Cross multiply
    978,036.53x = 1,466,019.36 × 328,994.87
  4. Step 4: Simplify right side
    978,036.53x = 482,312,841,430.59
  5. Step 5: Solve for x
    x = 482,312,841,430.59/978,036.53
  6. Step 6: Final answer
    x = 493,144.00

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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.