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Finding the Fourth Proportional to 647,792.64, 971,831.12 and 198,547.30

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Solution

The fourth proportional to 647,792.64, 971,831.12 and 198,547.30 is: 297,864.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,792.64 : 971,831.12 = 198,547.30 : x
  2. Step 2: Convert to fraction form
    647,792.64/971,831.12 = 198,547.30/x
  3. Step 3: Cross multiply
    647,792.64x = 971,831.12 × 198,547.30
  4. Step 4: Simplify right side
    647,792.64x = 192,954,445,154.03
  5. Step 5: Solve for x
    x = 192,954,445,154.03/647,792.64
  6. Step 6: Final answer
    x = 297,864.52

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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.