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Finding the Fourth Proportional to 284,877,248.40, 399,735,140.40 and 284,877,248.40

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Solution

The fourth proportional to 284,877,248.40, 399,735,140.40 and 284,877,248.40 is: 399,735,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,877,248.40 : 399,735,140.40 = 284,877,248.40 : x
  2. Step 2: Convert to fraction form
    284,877,248.40/399,735,140.40 = 284,877,248.40/x
  3. Step 3: Cross multiply
    284,877,248.40x = 399,735,140.40 × 284,877,248.40
  4. Step 4: Simplify right side
    284,877,248.40x = 113,875,446,885,939,664
  5. Step 5: Solve for x
    x = 113,875,446,885,939,664/284,877,248.40
  6. Step 6: Final answer
    x = 399,735,140.40

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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.