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Finding the Fourth Proportional to 208,018,254.80, 311,803,433.40 and 78,575,848.40

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Solution

The fourth proportional to 208,018,254.80, 311,803,433.40 and 78,575,848.40 is: 117,779,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,018,254.80 : 311,803,433.40 = 78,575,848.40 : x
  2. Step 2: Convert to fraction form
    208,018,254.80/311,803,433.40 = 78,575,848.40/x
  3. Step 3: Cross multiply
    208,018,254.80x = 311,803,433.40 × 78,575,848.40
  4. Step 4: Simplify right side
    208,018,254.80x = 24,500,219,313,437,896
  5. Step 5: Solve for x
    x = 24,500,219,313,437,896/208,018,254.80
  6. Step 6: Final answer
    x = 117,779,179.22

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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.