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Finding the Fourth Proportional to 704,168,283.78, 971,703,467.64 and 390,877,821.90

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Solution

The fourth proportional to 704,168,283.78, 971,703,467.64 and 390,877,821.90 is: 539,384,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,168,283.78 : 971,703,467.64 = 390,877,821.90 : x
  2. Step 2: Convert to fraction form
    704,168,283.78/971,703,467.64 = 390,877,821.90/x
  3. Step 3: Cross multiply
    704,168,283.78x = 971,703,467.64 × 390,877,821.90
  4. Step 4: Simplify right side
    704,168,283.78x = 379,817,334,963,800,320
  5. Step 5: Solve for x
    x = 379,817,334,963,800,320/704,168,283.78
  6. Step 6: Final answer
    x = 539,384,325.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.