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Finding the Fourth Proportional to 210,068,416.80, 314,890,048.80 and 123,762,398.40

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Solution

The fourth proportional to 210,068,416.80, 314,890,048.80 and 123,762,398.40 is: 185,518,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,068,416.80 : 314,890,048.80 = 123,762,398.40 : x
  2. Step 2: Convert to fraction form
    210,068,416.80/314,890,048.80 = 123,762,398.40/x
  3. Step 3: Cross multiply
    210,068,416.80x = 314,890,048.80 × 123,762,398.40
  4. Step 4: Simplify right side
    210,068,416.80x = 38,971,547,671,781,048
  5. Step 5: Solve for x
    x = 38,971,547,671,781,048/210,068,416.80
  6. Step 6: Final answer
    x = 185,518,357.62

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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.