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Finding the Fourth Proportional to 562,626,478.86, 776,414,264.40 and 311,729,955.72

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Solution

The fourth proportional to 562,626,478.86, 776,414,264.40 and 311,729,955.72 is: 430,181,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,626,478.86 : 776,414,264.40 = 311,729,955.72 : x
  2. Step 2: Convert to fraction form
    562,626,478.86/776,414,264.40 = 311,729,955.72/x
  3. Step 3: Cross multiply
    562,626,478.86x = 776,414,264.40 × 311,729,955.72
  4. Step 4: Simplify right side
    562,626,478.86x = 242,031,584,261,788,384
  5. Step 5: Solve for x
    x = 242,031,584,261,788,384/562,626,478.86
  6. Step 6: Final answer
    x = 430,181,645.12

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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.