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Finding the Fourth Proportional to 416,626,430.40, 624,301,916.40 and 393,668,179.20

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Solution

The fourth proportional to 416,626,430.40, 624,301,916.40 and 393,668,179.20 is: 589,899,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,626,430.40 : 624,301,916.40 = 393,668,179.20 : x
  2. Step 2: Convert to fraction form
    416,626,430.40/624,301,916.40 = 393,668,179.20/x
  3. Step 3: Cross multiply
    416,626,430.40x = 624,301,916.40 × 393,668,179.20
  4. Step 4: Simplify right side
    416,626,430.40x = 245,767,798,700,258,592
  5. Step 5: Solve for x
    x = 245,767,798,700,258,592/416,626,430.40
  6. Step 6: Final answer
    x = 589,899,681.75

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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.