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Finding the Fourth Proportional to 378,071,368.80, 565,973,312.40 and 224,638,447.20

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Solution

The fourth proportional to 378,071,368.80, 565,973,312.40 and 224,638,447.20 is: 336,284,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,071,368.80 : 565,973,312.40 = 224,638,447.20 : x
  2. Step 2: Convert to fraction form
    378,071,368.80/565,973,312.40 = 224,638,447.20/x
  3. Step 3: Cross multiply
    378,071,368.80x = 565,973,312.40 × 224,638,447.20
  4. Step 4: Simplify right side
    378,071,368.80x = 127,139,366,054,176,496
  5. Step 5: Solve for x
    x = 127,139,366,054,176,496/378,071,368.80
  6. Step 6: Final answer
    x = 336,284,036.68

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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.