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Finding the Fourth Proportional to 651,931.20, 978,307.20 and 277,948.80

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Solution

The fourth proportional to 651,931.20, 978,307.20 and 277,948.80 is: 417,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,931.20 : 978,307.20 = 277,948.80 : x
  2. Step 2: Convert to fraction form
    651,931.20/978,307.20 = 277,948.80/x
  3. Step 3: Cross multiply
    651,931.20x = 978,307.20 × 277,948.80
  4. Step 4: Simplify right side
    651,931.20x = 271,919,312,271.36
  5. Step 5: Solve for x
    x = 271,919,312,271.36/651,931.20
  6. Step 6: Final answer
    x = 417,098.17

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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.