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Finding the Fourth Proportional to 209,952,574.80, 314,928,862.20 and 193,371,615.60

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Solution

The fourth proportional to 209,952,574.80, 314,928,862.20 and 193,371,615.60 is: 290,057,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,574.80 : 314,928,862.20 = 193,371,615.60 : x
  2. Step 2: Convert to fraction form
    209,952,574.80/314,928,862.20 = 193,371,615.60/x
  3. Step 3: Cross multiply
    209,952,574.80x = 314,928,862.20 × 193,371,615.60
  4. Step 4: Simplify right side
    209,952,574.80x = 60,898,302,882,683,768
  5. Step 5: Solve for x
    x = 60,898,302,882,683,768/209,952,574.80
  6. Step 6: Final answer
    x = 290,057,423.40

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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.