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Finding the Fourth Proportional to 570,008,100.98, 786,607,894.64 and 309,242,118.26

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Solution

The fourth proportional to 570,008,100.98, 786,607,894.64 and 309,242,118.26 is: 426,752,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,008,100.98 : 786,607,894.64 = 309,242,118.26 : x
  2. Step 2: Convert to fraction form
    570,008,100.98/786,607,894.64 = 309,242,118.26/x
  3. Step 3: Cross multiply
    570,008,100.98x = 786,607,894.64 × 309,242,118.26
  4. Step 4: Simplify right side
    570,008,100.98x = 243,252,291,578,512,480
  5. Step 5: Solve for x
    x = 243,252,291,578,512,480/570,008,100.98
  6. Step 6: Final answer
    x = 426,752,341.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.