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Finding the Fourth Proportional to 909,602,009, 1,255,254,554.32 and 491,914,294.16

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Solution

The fourth proportional to 909,602,009, 1,255,254,554.32 and 491,914,294.16 is: 678,843,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,602,009 : 1,255,254,554.32 = 491,914,294.16 : x
  2. Step 2: Convert to fraction form
    909,602,009/1,255,254,554.32 = 491,914,294.16/x
  3. Step 3: Cross multiply
    909,602,009x = 1,255,254,554.32 × 491,914,294.16
  4. Step 4: Simplify right side
    909,602,009x = 617,477,658,079,448,192
  5. Step 5: Solve for x
    x = 617,477,658,079,448,192/909,602,009
  6. Step 6: Final answer
    x = 678,843,771.20

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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.