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Finding the Fourth Proportional to 279,895,264.80, 419,489,002.80 and 249,460,346.40

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Solution

The fourth proportional to 279,895,264.80, 419,489,002.80 and 249,460,346.40 is: 373,875,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,895,264.80 : 419,489,002.80 = 249,460,346.40 : x
  2. Step 2: Convert to fraction form
    279,895,264.80/419,489,002.80 = 249,460,346.40/x
  3. Step 3: Cross multiply
    279,895,264.80x = 419,489,002.80 × 249,460,346.40
  4. Step 4: Simplify right side
    279,895,264.80x = 104,645,871,949,478,576
  5. Step 5: Solve for x
    x = 104,645,871,949,478,576/279,895,264.80
  6. Step 6: Final answer
    x = 373,875,106.55

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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.