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Finding the Fourth Proportional to 513,547.60, 770,953.20 and 324,007.60

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Solution

The fourth proportional to 513,547.60, 770,953.20 and 324,007.60 is: 486,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,547.60 : 770,953.20 = 324,007.60 : x
  2. Step 2: Convert to fraction form
    513,547.60/770,953.20 = 324,007.60/x
  3. Step 3: Cross multiply
    513,547.60x = 770,953.20 × 324,007.60
  4. Step 4: Simplify right side
    513,547.60x = 249,794,696,044.32
  5. Step 5: Solve for x
    x = 249,794,696,044.32/513,547.60
  6. Step 6: Final answer
    x = 486,410.02

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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.