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Finding the Fourth Proportional to 314,928,692.60, 472,393,038.90 and 249,880,314.20

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Solution

The fourth proportional to 314,928,692.60, 472,393,038.90 and 249,880,314.20 is: 374,820,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,692.60 : 472,393,038.90 = 249,880,314.20 : x
  2. Step 2: Convert to fraction form
    314,928,692.60/472,393,038.90 = 249,880,314.20/x
  3. Step 3: Cross multiply
    314,928,692.60x = 472,393,038.90 × 249,880,314.20
  4. Step 4: Simplify right side
    314,928,692.60x = 118,041,720,986,224,816
  5. Step 5: Solve for x
    x = 118,041,720,986,224,816/314,928,692.60
  6. Step 6: Final answer
    x = 374,820,471.30

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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.