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Finding the Fourth Proportional to 610,461,381.60, 915,692,072.40 and 378,009,088.20

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Solution

The fourth proportional to 610,461,381.60, 915,692,072.40 and 378,009,088.20 is: 567,013,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,461,381.60 : 915,692,072.40 = 378,009,088.20 : x
  2. Step 2: Convert to fraction form
    610,461,381.60/915,692,072.40 = 378,009,088.20/x
  3. Step 3: Cross multiply
    610,461,381.60x = 915,692,072.40 × 378,009,088.20
  4. Step 4: Simplify right side
    610,461,381.60x = 346,139,925,359,892,352
  5. Step 5: Solve for x
    x = 346,139,925,359,892,352/610,461,381.60
  6. Step 6: Final answer
    x = 567,013,632.30

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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.