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Finding the Fourth Proportional to 577,958,812.80, 797,583,683.12 and 313,640,808.40

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Solution

The fourth proportional to 577,958,812.80, 797,583,683.12 and 313,640,808.40 is: 432,824,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,958,812.80 : 797,583,683.12 = 313,640,808.40 : x
  2. Step 2: Convert to fraction form
    577,958,812.80/797,583,683.12 = 313,640,808.40/x
  3. Step 3: Cross multiply
    577,958,812.80x = 797,583,683.12 × 313,640,808.40
  4. Step 4: Simplify right side
    577,958,812.80x = 250,154,791,140,406,208
  5. Step 5: Solve for x
    x = 250,154,791,140,406,208/577,958,812.80
  6. Step 6: Final answer
    x = 432,824,598.57

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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.