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Finding the Fourth Proportional to 286,986,563.40, 402,546,463.80 and 286,986,563.40

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Solution

The fourth proportional to 286,986,563.40, 402,546,463.80 and 286,986,563.40 is: 402,546,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,986,563.40 : 402,546,463.80 = 286,986,563.40 : x
  2. Step 2: Convert to fraction form
    286,986,563.40/402,546,463.80 = 286,986,563.40/x
  3. Step 3: Cross multiply
    286,986,563.40x = 402,546,463.80 × 286,986,563.40
  4. Step 4: Simplify right side
    286,986,563.40x = 115,525,426,254,784,496
  5. Step 5: Solve for x
    x = 115,525,426,254,784,496/286,986,563.40
  6. Step 6: Final answer
    x = 402,546,463.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.